A body starts moving from rest with constant acceleration and covers displacement S₁ in the first (p-1) second…

Question

A body starts moving from rest with constant acceleration and covers displacement $S_1$ in the first $(p-1)$ seconds and $S_2$ in the first $p$ seconds. The displacement $S_1 + S_2$ will be made in time:

A
$(2p + 1) \, \text{s}$
B
$\sqrt{2p^2 - 2p + 1} \, \text{s}$
C
$(2p - 1) \, \text{s}$
D
$(2p^2 - 2p + 1) \, \text{s}$

Accepted Answer

B. $$\sqrt{2p^2 - 2p + 1} \, 	ext{s}$$

Answer

A. $$(2p + 1) \, 	ext{s}$$

Answer

C. $$(2p - 1) \, 	ext{s}$$

Answer

D. $$(2p^2 - 2p + 1) \, 	ext{s}$$

Answer & step-by-step solution

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